import os.path, gzip, re, sys, time, base

from pymongo.connection import Connection
fields = Connection(port=37010).numberfields.fields
#
# This is a list of pairs of lists [pol1,pol2] where pol1 is a list of
# the coefficients of a defining polynomial in the database (as of
# 2011-09-02) and pol2 defines the same field but has been
# polredabs-ed.  The script will find the field defined by pol1 in the
# database and replace its polynomial with pol2.  This has the
# benefits (1) that the defining polynomial is canonical, and (2) that
# searching for fields by polynomial will work.
#
old_new_list = [[[-49, -45, 1, 1], [49, -45, -1, 1]], [[-135, -65, 1, 1], [135, -65, -1, 1]], [[-268, -78, 1, 1], [268, -78, -1, 1]], [[-188, -80, 1, 1], [188, -80, -1, 1]], [[38, -71, 0, 1], [-38, -71, 0, 1]], [[198, -81, 1, 1], [-198, -81, -1, 1]], [[92, -76, 1, 1], [-92, -76, -1, 1]], [[57, -83, 0, 1], [-57, -83, 0, 1]], [[115, -66, 0, 1], [-115, -66, 0, 1]], [[22, -71, 0, 1], [-22, -71, 0, 1]], [[167, -69, 1, 1], [-167, -69, -1, 1]], [[180, -75, 0, 1], [-180, -75, 0, 1]], [[32, -83, 0, 1], [-32, -83, 0, 1]], [[41, -60, 0, 1], [-41, -60, 0, 1]], [[58, -85, 1, 1], [-58, -85, -1, 1]], [[7, -83, 0, 1], [-7, -83, 0, 1]], [[-358, -97, 1, 1], [358, -97, -1, 1]], [[42, -47, 0, 1], [-42, -47, 0, 1]], [[268, -88, 1, 1], [-268, -88, -1, 1]], [[51, -62, 1, 1], [-51, -62, -1, 1]], [[-79, -61, 1, 1], [79, -61, -1, 1]], [[-104, -52, 1, 1], [104, -52, -1, 1]], [[-212, -84, 1, 1], [212, -84, -1, 1]], [[-337, -94, 1, 1], [337, -94, -1, 1]], [[164, -65, 0, 1], [-164, -65, 0, 1]], [[-150, -68, 1, 1], [150, -68, -1, 1]], [[119, -70, 1, 1], [-119, -70, -1, 1]], [[-100, -85, 1, 1], [100, -85, -1, 1]], [[106, -66, 0, 1], [-106, -66, 0, 1]], [[-175, -63, 1, 1], [175, -63, -1, 1]], [[-16, -72, 1, 1], [16, -72, -1, 1]], [[-32, -72, 1, 1], [32, -72, -1, 1]], [[260, -82, 0, 1], [-260, -82, 0, 1]], [[-70, -61, 1, 1], [70, -61, -1, 1]], [[116, -80, 1, 1], [-116, -80, -1, 1]], [[-111, -86, 1, 1], [111, -86, -1, 1]], [[43, -49, 1, 1], [-43, -49, -1, 1]], [[91, -87, 0, 1], [-91, -87, 0, 1]], [[-75, -85, 1, 1], [75, -85, -1, 1]], [[-9, -60, 1, 1], [9, -60, -1, 1]], [[-51, -47, 1, 1], [51, -47, -1, 1]], [[8, -85, 1, 1], [-8, -85, -1, 1]], [[-4, -46, 1, 1], [4, -46, -1, 1]], [[-50, -85, 1, 1], [50, -85, -1, 1]], [[-276, -80, 1, 1], [276, -80, -1, 1]], [[189, -81, 1, 1], [-189, -81, -1, 1]], [[-141, -68, 1, 1], [141, -68, -1, 1]], [[149, -92, 0, 1], [-149, -92, 0, 1]], [[110, -70, 1, 1], [-110, -70, -1, 1]], [[173, -71, 1, 1], [-173, -71, -1, 1]], [[-166, -91, 1, 1], [166, -91, -1, 1]], [[121, -69, 0, 1], [-121, -69, 0, 1]], [[100, -58, 1, 1], [-100, -58, -1, 1]], [[140, -84, 1, 1], [-140, -84, -1, 1]], [[42, -75, 0, 1], [-42, -75, 0, 1]], [[53, -63, 0, 1], [-53, -63, 0, 1]], [[311, -96, 0, 1], [-311, -96, 0, 1]], [[189, -78, 0, 1], [-189, -78, 0, 1]], [[26, -75, 0, 1], [-26, -75, 0, 1]], [[44, -49, 0, 1], [-44, -49, 0, 1]], [[276, -90, 1, 1], [-276, -90, -1, 1]], [[62, -88, 0, 1], [-62, -88, 0, 1]], [[95, -91, 1, 1], [-95, -91, -1, 1]], [[-419, -103, 1, 1], [419, -103, -1, 1]], [[290, -93, 0, 1], [-290, -93, 0, 1]], [[44, -63, 0, 1], [-44, -63, 0, 1]], [[170, -67, 0, 1], [-170, -67, 0, 1]], [[186, -87, 0, 1], [-186, -87, 0, 1]], [[54, -65, 1, 1], [-54, -65, -1, 1]], [[-82, -64, 1, 1], [82, -64, -1, 1]], [[126, -92, 0, 1], [-126, -92, 0, 1]], [[37, -88, 0, 1], [-37, -88, 0, 1]], [[207, -81, 0, 1], [-207, -81, 0, 1]], [[-181, -65, 1, 1], [181, -65, -1, 1]], [[100, -56, 0, 1], [-100, -56, 0, 1]], [[125, -73, 1, 1], [-125, -73, -1, 1]], [[-141, -91, 1, 1], [141, -91, -1, 1]], [[-156, -71, 1, 1], [156, -71, -1, 1]], [[-370, -100, 1, 1], [370, -100, -1, 1]], [[-49, -110, 1, 1], [49, -110, -1, 1]], [[-48, -76, 1, 1], [48, -76, -1, 1]], [[-73, -64, 1, 1], [73, -64, -1, 1]], [[45, -65, 1, 1], [-45, -65, -1, 1]], [[-234, -81, 1, 1], [234, -81, -1, 1]], [[37, -111, 0, 1], [-37, -111, 0, 1]], [[124, -84, 1, 1], [-124, -84, -1, 1]], [[70, -91, 1, 1], [-70, -91, -1, 1]], [[-53, -49, 1, 1], [53, -49, -1, 1]], [[-16, -76, 1, 1], [16, -76, -1, 1]], [[214, -91, 0, 1], [-214, -91, 0, 1]], [[-32, -76, 1, 1], [32, -76, -1, 1]], [[-4, -48, 1, 1], [4, -48, -1, 1]], [[-9, -63, 1, 1], [9, -63, -1, 1]], [[-18, -63, 1, 1], [18, -63, -1, 1]], [[38, -90, 1, 1], [-38, -90, -1, 1]], [[-277, -103, 1, 1], [277, -103, -1, 1]], [[198, -84, 1, 1], [-198, -84, -1, 1]], [[25, -112, 1, 1], [-25, -112, -1, 1]], [[101, -92, 0, 1], [-101, -92, 0, 1]], [[-116, -91, 1, 1], [116, -91, -1, 1]], [[130, -96, 1, 1], [-130, -96, -1, 1]], [[-217, -98, 1, 1], [217, -98, -1, 1]], [[242, -95, 0, 1], [-242, -95, 0, 1]], [[-180, -108, 0, 1], [-282, -108, 0, 1]], [[104, -60, 1, 1], [-104, -60, -1, 1]], [[-75, -90, 1, 1], [75, -90, -1, 1]], [[216, -87, 1, 1], [-216, -87, -1, 1]], [[13, -90, 1, 1], [-13, -90, -1, 1]], [[116, -73, 1, 1], [-116, -73, -1, 1]], [[62, -79, 0, 1], [-62, -79, 0, 1]], [[-221, -102, 0, 1], [-391, -102, 0, 1]], [[127, -72, 0, 1], [-127, -72, 0, 1]], [[-50, -90, 1, 1], [50, -90, -1, 1]], [[16, -102, 0, 1], [-16, -102, 0, 1]], [[-25, -90, 1, 1], [25, -90, -1, 1]], [[161, -97, 0, 1], [-161, -97, 0, 1]], [[323, -99, 0, 1], [-323, -99, 0, 1]], [[198, -81, 0, 1], [-198, -81, 0, 1]], [[302, -96, 0, 1], [-302, -96, 0, 1]], [[46, -79, 0, 1], [-46, -79, 0, 1]], [[-204, -88, 1, 1], [204, -88, -1, 1]], [[47, -66, 0, 1], [-47, -66, 0, 1]], [[-429, -105, 1, 1], [429, -105, -1, 1]], [[30, -79, 0, 1], [-30, -79, 0, 1]], [[-517, -116, 1, 1], [517, -116, -1, 1]], [[276, -86, 0, 1], [-276, -86, 0, 1]], [[104, -58, 0, 1], [-104, -58, 0, 1]], [[198, -91, 0, 1], [-198, -91, 0, 1]], [[57, -68, 1, 1], [-57, -68, -1, 1]], [[47, -53, 1, 1], [-47, -53, -1, 1]], [[165, -101, 1, 1], [-165, -101, -1, 1]], [[67, -93, 0, 1], [-67, -93, 0, 1]], [[-85, -67, 1, 1], [85, -67, -1, 1]], [[118, -72, 0, 1], [-118, -72, 0, 1]], [[131, -76, 1, 1], [-131, -76, -1, 1]], [[117, -105, -1, 1], [275, -105, -1, 1]], [[-252, -103, 1, 1], [252, -103, -1, 1]], [[-55, -51, 1, 1], [55, -51, -1, 1]], [[-162, -74, 1, 1], [162, -74, -1, 1]], [[-4, -50, 1, 1], [4, -50, -1, 1]], [[42, -93, 0, 1], [-42, -93, 0, 1]], [[416, -109, 0, 1], [-416, -109, 0, 1]], [[-361, -100, 1, 1], [361, -100, -1, 1]], [[-76, -67, 1, 1], [76, -67, -1, 1]], [[68, -95, 1, 1], [-68, -95, -1, 1]], [[-382, -103, 1, 1], [382, -103, -1, 1]], [[-243, -84, 1, 1], [243, -84, -1, 1]], [[226, -95, 0, 1], [-226, -95, 0, 1]], [[339, -107, 1, 1], [-339, -107, -1, 1]], [[132, -88, 1, 1], [-132, -88, -1, 1]], [[17, -93, 0, 1], [-17, -93, 0, 1]], [[207, -87, 1, 1], [-207, -87, -1, 1]], [[-146, -96, 1, 1], [146, -96, -1, 1]], [[-9, -66, 1, 1], [9, -66, -1, 1]], [[-32, -80, 1, 1], [32, -80, -1, 1]], [[185, -75, 1, 1], [-185, -75, -1, 1]], [[-188, -88, 1, 1], [188, -88, -1, 1]], [[108, -62, 1, 1], [-108, -62, -1, 1]], [[-228, -92, 1, 1], [228, -92, -1, 1]], [[20, -106, 1, 1], [-20, -106, -1, 1]], [[318, -104, 1, 1], [-318, -104, -1, 1]], [[122, -76, 1, 1], [-122, -76, -1, 1]], [[43, -95, 1, 1], [-43, -95, -1, 1]], [[111, -97, 0, 1], [-111, -97, 0, 1]], [[-153, -74, 1, 1], [153, -74, -1, 1]], [[292, -94, 1, 1], [-292, -94, -1, 1]], [[-100, -95, 1, 1], [100, -95, -1, 1]], [[254, -99, 0, 1], [-254, -99, 0, 1]], [[140, -101, 1, 1], [-140, -101, -1, 1]], [[133, -75, 0, 1], [-133, -75, 0, 1]], [[-121, -96, 1, 1], [121, -96, -1, 1]], [[435, -122, 1, 1], [-435, -122, -1, 1]], [[207, -84, 0, 1], [-207, -84, 0, 1]], [[335, -102, 0, 1], [-335, -102, 0, 1]], [[179, -102, 0, 1], [-179, -102, 0, 1]], [[-287, -108, 1, 1], [287, -108, -1, 1]], [[-116, -58, 1, 1], [116, -58, -1, 1]], [[59, -69, 0, 1], [-59, -69, 0, 1]], [[66, -83, 0, 1], [-66, -83, 0, 1]], [[18, -95, 1, 1], [-18, -95, -1, 1]], [[-75, -107, 1, 1], [75, -107, -1, 1]], [[-3, -107, 1, 1], [3, -107, -1, 1]], [[116, -88, 1, 1], [-116, -88, -1, 1]], [[284, -88, 0, 1], [-284, -88, 0, 1]], [[-39, -107, 1, 1], [39, -107, -1, 1]], [[156, -92, 1, 1], [-156, -92, -1, 1]], [[86, -97, 0, 1], [-86, -97, 0, 1]], [[50, -69, 0, 1], [-50, -69, 0, 1]], [[-25, -95, 1, 1], [25, -95, -1, 1]], [[50, -83, 0, 1], [-50, -83, 0, 1]], [[49, -55, 1, 1], [-49, -55, -1, 1]], [[-439, -107, 1, 1], [439, -107, -1, 1]], [[-36, -108, 0, 1], [-426, -108, 0, 1]], [[28, -108, 0, 1], [-28, -108, 0, 1]], [[210, -95, 0, 1], [-210, -95, 0, 1]], [[60, -71, 1, 1], [-60, -71, -1, 1]], [[-72, -108, 1, 1], [72, -108, -1, 1]], [[225, -87, 0, 1], [-225, -87, 0, 1]], [[-212, -92, 1, 1], [212, -92, -1, 1]], [[124, -75, 0, 1], [-124, -75, 0, 1]], [[426, -111, 0, 1], [-426, -111, 0, 1]], [[219, -107, 0, 1], [-219, -107, 0, 1]], [[175, -106, 1, 1], [-175, -106, -1, 1]], [[51, -71, 1, 1], [-51, -71, -1, 1]], [[-176, -101, 1, 1], [176, -101, -1, 1]], [[-79, -70, 1, 1], [79, -70, -1, 1]], [[191, -77, 1, 1], [-191, -77, -1, 1]], [[-322, -113, 1, 1], [322, -113, -1, 1]], [[351, -110, 1, 1], [-351, -110, -1, 1]], [[-373, -103, 1, 1], [373, -103, -1, 1]], [[-252, -87, 1, 1], [252, -87, -1, 1]], [[238, -99, 0, 1], [-238, -99, 0, 1]], [[-301, -121, 1, 1], [301, -121, -1, 1]], [[140, -92, 1, 1], [-140, -92, -1, 1]], [[-18, -69, 1, 1], [18, -69, -1, 1]], [[47, -98, 0, 1], [-47, -98, 0, 1]], [[330, -107, 1, 1], [-330, -107, -1, 1]], [[-262, -108, 1, 1], [262, -108, -1, 1]], [[-394, -106, 1, 1], [394, -106, -1, 1]], [[-48, -84, 1, 1], [48, -84, -1, 1]], [[73, -100, 1, 1], [-73, -100, -1, 1]], [[300, -96, 1, 1], [-300, -96, -1, 1]], [[-16, -84, 1, 1], [16, -84, -1, 1]], [[215, -129, 0, 1], [-215, -129, 0, 1]], [[-32, -84, 1, 1], [32, -84, -1, 1]], [[22, -98, 0, 1], [-22, -98, 0, 1]], [[128, -79, 1, 1], [-128, -79, -1, 1]], [[188, -73, 0, 1], [-188, -73, 0, 1]], [[234, -93, 1, 1], [-234, -93, -1, 1]], [[-196, -92, 1, 1], [196, -92, -1, 1]], [[38, -111, 0, 1], [-38, -111, 0, 1]], [[-151, -101, 1, 1], [151, -101, -1, 1]], [[-120, -60, 1, 1], [120, -60, -1, 1]], [[-159, -77, 1, 1], [159, -77, -1, 1]], [[259, -112, 0, 1], [-259, -112, 0, 1]], [[326, -102, 0, 1], [-326, -102, 0, 1]], [[139, -78, 0, 1], [-139, -78, 0, 1]], [[347, -105, 0, 1], [-347, -105, 0, 1]], [[-236, -96, 1, 1], [236, -96, -1, 1]], [[112, -62, 0, 1], [-112, -62, 0, 1]], [[266, -103, 0, 1], [-266, -103, 0, 1]], [[121, -102, 0, 1], [-121, -102, 0, 1]], [[62, -72, 0, 1], [-62, -72, 0, 1]], [[-270, -90, 1, 1], [270, -90, -1, 1]], [[112, -114, 0, 1], [-112, -114, 0, 1]], [[150, -106, 1, 1], [-150, -106, -1, 1]], [[51, -57, 1, 1], [-51, -57, -1, 1]], [[-480, -124, 1, 1], [480, -124, -1, 1]], [[451, -121, 1, 1], [-451, -121, -1, 1]], [[70, -87, 0, 1], [-70, -87, 0, 1]], [[124, -92, 1, 1], [-124, -92, -1, 1]], [[53, -72, 0, 1], [-53, -72, 0, 1]], [[-144, -114, 1, 1], [144, -114, -1, 1]], [[-449, -109, 1, 1], [449, -109, -1, 1]], [[23, -100, 1, 1], [-23, -100, -1, 1]], [[-59, -55, 1, 1], [59, -55, -1, 1]], [[164, -96, 1, 1], [-164, -96, -1, 1]], [[-4, -54, 1, 1], [4, -54, -1, 1]], [[63, -74, 1, 1], [-63, -74, -1, 1]], [[299, -117, 0, 1], [-481, -117, 0, 1]], [[234, -90, 0, 1], [-234, -90, 0, 1]], [[-75, -100, 1, 1], [75, -100, -1, 1]], [[436, -113, 0, 1], [-436, -113, 0, 1]], [[-237, -108, 1, 1], [237, -108, -1, 1]], [[130, -78, 0, 1], [-130, -78, 0, 1]], [[76, -114, 0, 1], [-76, -114, 0, 1]], [[-2, -100, 1, 1], [2, -100, -1, 1]], [[-206, -106, 1, 1], [206, -106, -1, 1]], [[143, -82, 1, 1], [-143, -82, -1, 1]], [[-151, -115, 1, 1], [151, -115, -1, 1]], [[-69, -113, 1, 1], [69, -113, -1, 1]], [[-50, -100, 1, 1], [50, -100, -1, 1]], [[-25, -100, 1, 1], [25, -100, -1, 1]], [[-91, -73, 1, 1], [91, -73, -1, 1]], [[38, -87, 0, 1], [-38, -87, 0, 1]], [[-108, -114, 1, 1], [108, -114, -1, 1]], [[144, -117, 0, 1], [-144, -117, 0, 1]], [[197, -79, 1, 1], [-197, -79, -1, 1]], [[209, -134, 1, 1], [-209, -134, -1, 1]], [[-597, -134, 1, 1], [597, -134, -1, 1]], [[116, -66, 1, 1], [-116, -66, -1, 1]], [[40, -114, 0, 1], [-40, -114, 0, 1]], [[125, -106, 1, 1], [-125, -106, -1, 1]], [[-72, -114, 1, 1], [72, -114, -1, 1]], [[-82, -73, 1, 1], [82, -73, -1, 1]], [[-174, -80, 1, 1], [174, -80, -1, 1]], [[234, -112, 0, 1], [-234, -112, 0, 1]], [[-36, -114, 1, 1], [36, -114, -1, 1]], [[-573, -131, 1, 1], [573, -131, -1, 1]], [[342, -110, 1, 1], [-342, -110, -1, 1]], [[-515, -136, 1, 1], [515, -136, -1, 1]], [[-9, -72, 1, 1], [9, -72, -1, 1]], [[-261, -90, 1, 1], [261, -90, -1, 1]], [[-385, -106, 1, 1], [385, -106, -1, 1]], [[250, -103, 0, 1], [-250, -103, 0, 1]], [[194, -75, 0, 1], [-194, -75, 0, 1]], [[-18, -72, 1, 1], [18, -72, -1, 1]], [[77, -103, 0, 1], [-77, -103, 0, 1]], [[-370, -121, 1, 1], [370, -121, -1, 1]], [[148, -96, 1, 1], [-148, -96, -1, 1]], [[-181, -106, 1, 1], [181, -106, -1, 1]], [[156, -107, 0, 1], [-156, -107, 0, 1]], [[134, -82, 1, 1], [-134, -82, -1, 1]], [[-124, -62, 1, 1], [124, -62, -1, 1]], [[243, -96, 1, 1], [-243, -96, -1, 1]], [[-549, -128, 1, 1], [549, -128, -1, 1]], [[-406, -109, 1, 1], [406, -109, -1, 1]], [[300, -92, 0, 1], [-300, -92, 0, 1]], [[116, -64, 0, 1], [-116, -64, 0, 1]], [[338, -105, 0, 1], [-338, -105, 0, 1]], [[-229, -121, 1, 1], [229, -121, -1, 1]], [[52, -103, 0, 1], [-52, -103, 0, 1]], [[-32, -88, 1, 1], [32, -88, -1, 1]], [[-165, -80, 1, 1], [165, -80, -1, 1]], [[145, -81, 0, 1], [-145, -81, 0, 1]], [[80, -117, 0, 1], [-80, -117, 0, 1]], [[53, -59, 1, 1], [-53, -59, -1, 1]], [[78, -105, 1, 1], [-78, -105, -1, 1]], [[359, -108, 0, 1], [-359, -108, 0, 1]], [[-272, -113, 1, 1], [272, -113, -1, 1]], [[27, -103, 0, 1], [-27, -103, 0, 1]], [[461, -123, 1, 1], [-461, -123, -1, 1]], [[65, -75, 0, 1], [-65, -75, 0, 1]], [[274, -117, 0, 1], [-274, -117, 0, 1]], [[-410, -126, 1, 1], [410, -126, -1, 1]], [[-165, -131, 1, 1], [165, -131, -1, 1]], [[-307, -127, 1, 1], [307, -127, -1, 1]], [[-279, -93, 1, 1], [279, -93, -1, 1]], [[-4, -56, 1, 1], [4, 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1], [2853, 0, -84, 0, 1]], [[2857, 0, 32, 0, 1], [2857, 0, -32, 0, 1]], [[2858, 0, 14, 0, 1], [2858, 0, -14, 0, 1]], [[2866, 0, 90, 0, 1], [2866, 0, -90, 0, 1]], [[2890, 0, 34, 0, 1], [2890, 0, -34, 0, 1]], [[2897, 0, 88, 0, 1], [2897, 0, -88, 0, 1]], [[2930, 0, 22, 0, 1], [2930, 0, -22, 0, 1]], [[2938, 0, 86, 0, 1], [2938, 0, -86, 0, 1]], [[2941, 0, 108, 0, 1], [2941, 0, -108, 0, 1]], [[2953, 0, 24, 0, 1], [2953, 0, -24, 0, 1]], [[2978, 0, 106, 0, 1], [2978, 0, -106, 0, 1]], [[2986, 0, 90, 0, 1], [2986, 0, -90, 0, 1]], [[2993, 0, 104, 0, 1], [2993, 0, -104, 0, 1]], [[2993, 0, 56, 0, 1], [2993, 0, -56, 0, 1]], [[3001, 0, 40, 0, 1], [3001, 0, -40, 0, 1]], [[3005, 0, 28, 0, 1], [3005, 0, -28, 0, 1]], [[3026, 0, 98, 0, 1], [3026, 0, -98, 0, 1]], [[3026, 0, 50, 0, 1], [3026, 0, -50, 0, 1]], [[3026, 0, 2, 0, 1], [3026, 0, -2, 0, 1]], [[3029, 0, 4, 0, 1], [3029, 0, -4, 0, 1]], [[3033, 0, 96, 0, 1], [3033, 0, -96, 0, 1]], [[3042, 0, 78, 0, 1], [3042, 0, -78, 0, 1]], [[3061, 0, 12, 0, 1], [3061, 0, -12, 0, 1]], [[5547, 0, 129, 0, 1], [5547, 0, -129, 0, 1]], [[3130, 0, 98, 0, 1], [3130, 0, -98, 0, 1]], [[3133, 0, 84, 0, 1], [3133, 0, -84, 0, 1]], [[3141, 0, 108, 0, 1], [3141, 0, -108, 0, 1]], [[3145, 0, 104, 0, 1], [3145, 0, -104, 0, 1]], [[3145, 0, 96, 0, 1], [3145, 0, -96, 0, 1]], [[3146, 0, 110, 0, 1], [3146, 0, -110, 0, 1]], [[3146, 0, 22, 0, 1], [3146, 0, -22, 0, 1]], [[3161, 0, 88, 0, 1], [3161, 0, -88, 0, 1]], [[3169, 0, 24, 0, 1], [3169, 0, -24, 0, 1]], [[3170, 0, 62, 0, 1], [3170, 0, -62, 0, 1]], [[3181, 0, 68, 0, 1], [3181, 0, -68, 0, 1]], [[3194, 0, 26, 0, 1], [3194, 0, -26, 0, 1]], [[3202, 0, 82, 0, 1], [3202, 0, -82, 0, 1]], [[3205, 0, 92, 0, 1], [3205, 0, -92, 0, 1]], [[3217, 0, 112, 0, 1], [3217, 0, -112, 0, 1]], [[3218, 0, 86, 0, 1], [3218, 0, -86, 0, 1]], [[3233, 0, 104, 0, 1], [3233, 0, -104, 0, 1]], [[3242, 0, 98, 0, 1], [3242, 0, -98, 0, 1]], [[3257, 0, 112, 0, 1], [3257, 0, -112, 0, 1]], [[3258, 0, 6, 0, 1], [3258, 0, -6, 0, 1]], [[3265, 0, 96, 0, 1], [3265, 0, -96, 0, 1]], [[3277, 0, 52, 0, 1], [3277, 0, -52, 0, 1]], [[3281, 0, 80, 0, 1], [3281, 0, -80, 0, 1]], [[3285, 0, 84, 0, 1], [3285, 0, -84, 0, 1]], [[3293, 0, 44, 0, 1], [3293, 0, -44, 0, 1]], [[3298, 0, 114, 0, 1], [3298, 0, -114, 0, 1]], [[3314, 0, 110, 0, 1], [3314, 0, -110, 0, 1]], [[3329, 0, 104, 0, 1], [3329, 0, -104, 0, 1]], [[3338, 0, 106, 0, 1], [3338, 0, -106, 0, 1]], [[3338, 0, 46, 0, 1], [3338, 0, -46, 0, 1]], [[3341, 0, 100, 0, 1], [3341, 0, -100, 0, 1]], [[3349, 0, 36, 0, 1], [3349, 0, -36, 0, 1]], [[3370, 0, 114, 0, 1], [3370, 0, -114, 0, 1]], [[3385, 0, 56, 0, 1], [3385, 0, -56, 0, 1]], [[3393, 0, 96, 0, 1], [3393, 0, -96, 0, 1]], [[3418, 0, 114, 0, 1], [3418, 0, -114, 0, 1]], [[3433, 0, 104, 0, 1], [3433, 0, -104, 0, 1]], [[3434, 0, 70, 0, 1], [3434, 0, -70, 0, 1]], [[3434, 0, 50, 0, 1], [3434, 0, -50, 0, 1]], [[3442, 0, 102, 0, 1], [3442, 0, -102, 0, 1]], [[3445, 0, 108, 0, 1], [3445, 0, -108, 0, 1]], [[3445, 0, 84, 0, 1], [3445, 0, -84, 0, 1]], [[3445, 0, 28, 0, 1], [3445, 0, -28, 0, 1]], [[3457, 0, 88, 0, 1], [3457, 0, -88, 0, 1]], [[3469, 0, 76, 0, 1], [3469, 0, -76, 0, 1]], [[3474, 0, 114, 0, 1], [3474, 0, -114, 0, 1]], [[3474, 0, 30, 0, 1], [3474, 0, -30, 0, 1]], [[3482, 0, 118, 0, 1], [3482, 0, -118, 0, 1]], [[3485, 0, 52, 0, 1], [3485, 0, -52, 0, 1]], [[3490, 0, 6, 0, 1], [3490, 0, -6, 0, 1]], [[3497, 0, 112, 0, 1], [3497, 0, -112, 0, 1]], [[3529, 0, 96, 0, 1], [3529, 0, -96, 0, 1]], [[3530, 0, 82, 0, 1], [3530, 0, -82, 0, 1]], [[3538, 0, 106, 0, 1], [3538, 0, -106, 0, 1]], [[3541, 0, 108, 0, 1], [3541, 0, -108, 0, 1]], [[3562, 0, 118, 0, 1], [3562, 0, -118, 0, 1]], [[3562, 0, 102, 0, 1], [3562, 0, -102, 0, 1]], [[3573, 0, 36, 0, 1], [3573, 0, -36, 0, 1]], [[3581, 0, 20, 0, 1], [3581, 0, -20, 0, 1]], [[3589, 0, 116, 0, 1], [3589, 0, -116, 0, 1]], [[3589, 0, 100, 0, 1], [3589, 0, -100, 0, 1]], [[3602, 0, 22, 0, 1], [3602, 0, -22, 0, 1]], [[3610, 0, 114, 0, 1], [3610, 0, -114, 0, 1]], [[3617, 0, 88, 0, 1], [3617, 0, -88, 0, 1]], [[3637, 0, 92, 0, 1], [3637, 0, -92, 0, 1]], [[3649, 0, 40, 0, 1], [3649, 0, -40, 0, 1]], [[3650, 0, 50, 0, 1], [3650, 0, -50, 0, 1]], [[3653, 0, 116, 0, 1], [3653, 0, -116, 0, 1]], [[3665, 0, 104, 0, 1], [3665, 0, -104, 0, 1]], [[3677, 0, 28, 0, 1], [3677, 0, -28, 0, 1]], [[3681, 0, 120, 0, 1], [3681, 0, -120, 0, 1]], [[3690, 0, 102, 0, 1], [3690, 0, -102, 0, 1]], [[3690, 0, 42, 0, 1], [3690, 0, -42, 0, 1]], [[3698, 0, 86, 0, 1], [3698, 0, -86, 0, 1]], [[3706, 0, 30, 0, 1], [3706, 0, -30, 0, 1]], [[3709, 0, 60, 0, 1], [3709, 0, -60, 0, 1]], [[3722, 0, 2, 0, 1], [3722, 0, -2, 0, 1]], [[3725, 0, 100, 0, 1], [3725, 0, -100, 0, 1]], [[6627, 0, 141, 0, 1], [6627, 0, -141, 0, 1]], [[3733, 0, 44, 0, 1], [3733, 0, -44, 0, 1]], [[3737, 0, 32, 0, 1], [3737, 0, -32, 0, 1]], [[3746, 0, 122, 0, 1], [3746, 0, -122, 0, 1]], [[3757, 0, 68, 0, 1], [3757, 0, -68, 0, 1]], [[3770, 0, 106, 0, 1], [3770, 0, -106, 0, 1]], [[3770, 0, 62, 0, 1], [3770, 0, -62, 0, 1]], [[3770, 0, 34, 0, 1], [3770, 0, -34, 0, 1]], [[3785, 0, 16, 0, 1], [3785, 0, -16, 0, 1]], [[3793, 0, 104, 0, 1], [3793, 0, -104, 0, 1]], [[3802, 0, 122, 0, 1], [3802, 0, -122, 0, 1]], [[3805, 0, 116, 0, 1], [3805, 0, -116, 0, 1]], [[3805, 0, 36, 0, 1], [3805, 0, -36, 0, 1]], [[3809, 0, 80, 0, 1], [3809, 0, -80, 0, 1]], [[3825, 0, 120, 0, 1], [3825, 0, -120, 0, 1]], [[3826, 0, 102, 0, 1], [3826, 0, -102, 0, 1]], [[3865, 0, 24, 0, 1], [3865, 0, -24, 0, 1]], [[3874, 0, 114, 0, 1], [3874, 0, -114, 0, 1]], [[3874, 0, 86, 0, 1], [3874, 0, -86, 0, 1]], [[3874, 0, 50, 0, 1], [3874, 0, -50, 0, 1]], [[3890, 0, 26, 0, 1], [3890, 0, -26, 0, 1]], [[-1, 2, 1, -2, 1], [1, -2, 1, -2, 1]], [[-1, 0, 2, 0, 1], [-1, 0, -2, 0, 1]], [[-9, 0, 3, 0, 1], [-9, 0, -3, 0, 1]], [[-4, 0, 6, 0, 1], [-4, 0, -6, 0, 1]], [[-1, 0, 5, 0, 1], [-1, 0, -5, 0, 1]], [[-36, 0, 6, 0, 1], [-36, 0, -6, 0, 1]], [[-16, 0, 1, 0, 1], [-16, 0, -1, 0, 1]], [[-49, 0, 7, 0, 1], [-49, 0, -7, 0, 1]], [[-1, 0, 6, 0, 1], [-1, 0, -6, 0, 1]], [[-9, 0, 2, 0, 1], [-9, 0, -2, 0, 1]], [[-25, 0, 10, 0, 1], [-25, 0, -10, 0, 1]], [[-16, 0, 5, 0, 1], [-16, 0, -5, 0, 1]], [[-4, 0, 11, 0, 1], [-4, 0, -11, 0, 1]], [[-196, 0, 14, 0, 1], [-196, 0, -14, 0, 1]], [[-36, 0, 1, 0, 1], [-36, 0, -1, 0, 1]], [[-36, 0, 18, 0, 1], [-36, 0, -18, 0, 1]], [[-9, 0, 7, 0, 1], [-9, 0, -7, 0, 1]], [[-9, 0, 15, 0, 1], [-9, 0, -15, 0, 1]], [[-121, 0, 22, 0, 1], [-121, 0, -22, 0, 1]], [[-12, 24, 1, -2, 1], [12, -24, 1, -2, 1]], [[-361, 0, 19, 0, 1], [-361, 0, -19, 0, 1]], [[-36, 0, 7, 0, 1], [-36, 0, -7, 0, 1]], [[-144, 0, 6, 0, 1], [-144, 0, -6, 0, 1]], [[-1, 0, 10, 0, 1], [-1, 0, -10, 0, 1]], [[-25, 0, 2, 0, 1], [-25, 0, -2, 0, 1]], [[-25, 0, 3, 0, 1], [-25, 0, -3, 0, 1]], [[-484, 0, 22, 0, 1], [-484, 0, -22, 0, 1]], [[-81, 0, 3, 0, 1], [-81, 0, -3, 0, 1]], [[-529, 0, 23, 0, 1], [-529, 0, -23, 0, 1]], [[-9, 0, 18, 0, 1], [-9, 0, -18, 0, 1]], [[-81, 0, 6, 0, 1], [-81, 0, -6, 0, 1]], [[-225, 0, 30, 0, 1], [-225, 0, -30, 0, 1]], [[-64, 0, 2, 0, 1], [-64, 0, -2, 0, 1]], [[-100, 0, 30, 0, 1], [-100, 0, -30, 0, 1]], [[-676, 0, 26, 0, 1], [-676, 0, -26, 0, 1]], [[-64, 0, 3, 0, 1], [-64, 0, -3, 0, 1]], [[-9, 0, 10, 0, 1], [-9, 0, -10, 0, 1]], [[-25, 0, 6, 0, 1], [-25, 0, -6, 0, 1]], [[-64, 0, 5, 0, 1], [-64, 0, -5, 0, 1]], [[-25, 0, 25, 0, 1], [-25, 0, -25, 0, 1]], [[-841, 0, 29, 0, 1], [-841, 0, -29, 0, 1]], [[-25, 0, 7, 0, 1], [-25, 0, -7, 0, 1]], [[-361, 0, 38, 0, 1], [-361, 0, -38, 0, 1]], [[-64, 0, 7, 0, 1], [-64, 0, -7, 0, 1]], [[-15, 30, 1, -2, 1], [15, -30, 1, -2, 1]], [[-441, 0, 42, 0, 1], [-441, 0, -42, 0, 1]], [[-4, 0, 18, 0, 1], [-4, 0, -18, 0, 1]], [[-36, 0, 14, 0, 1], [-36, 0, -14, 0, 1]], [[-400, 0, 10, 0, 1], [-400, 0, -10, 0, 1]], [[-1156, 0, 34, 0, 1], [-1156, 0, -34, 0, 1]], [[-1, 0, 13, 0, 1], [-1, 0, -13, 0, 1]], [[-196, 0, 42, 0, 1], [-196, 0, -42, 0, 1]], [[-81, 0, 15, 0, 1], [-81, 0, -15, 0, 1]], [[-225, 0, 5, 0, 1], [-225, 0, -5, 0, 1]], [[-1369, 0, 37, 0, 1], [-1369, 0, -37, 0, 1]], [[-18, 36, 1, -2, 1], [18, -36, 1, -2, 1]], [[-4, 0, 19, 0, 1], [-4, 0, -19, 0, 1]], [[-64, 0, 11, 0, 1], [-64, 0, -11, 0, 1]], [[-1444, 0, 38, 0, 1], [-1444, 0, -38, 0, 1]], [[-84, 0, 42, 0, 1], [-84, 0, -42, 0, 1]], [[-225, 0, 45, 0, 1], [-225, 0, -45, 0, 1]], [[-1521, 0, 39, 0, 1], [-1521, 0, -39, 0, 1]], [[-49, 0, 1, 0, 1], [-49, 0, -1, 0, 1]], [[-49, 0, 35, 0, 1], [-49, 0, -35, 0, 1]], [[-9, 0, 13, 0, 1], [-9, 0, -13, 0, 1]], [[-49, 0, 3, 0, 1], [-49, 0, -3, 0, 1]], [[-1764, 0, 42, 0, 1], [-1764, 0, -42, 0, 1]], [[-1849, 0, 43, 0, 1], [-1849, 0, -43, 0, 1]], [[-36, 0, 17, 0, 1], [-36, 0, -17, 0, 1]], [[-100, 0, 6, 0, 1], [-100, 0, -6, 0, 1]], [[-49, 0, 5, 0, 1], [-49, 0, -5, 0, 1]], [[-4, 0, 21, 0, 1], [-4, 0, -21, 0, 1]], [[-2116, 0, 46, 0, 1], [-2116, 0, -46, 0, 1]], [[-9, 0, 14, 0, 1], [-9, 0, -14, 0, 1]], [[-49, 0, 6, 0, 1], [-49, 0, -6, 0, 1]], [[-784, 0, 14, 0, 1], [-784, 0, -14, 0, 1]], [[-100, 0, 9, 0, 1], [-100, 0, -9, 0, 1]], [[-961, 0, 62, 0, 1], [-961, 0, -62, 0, 1]], [[-1, -1, 12, -12, -1, 1], [1, 1, -12, -12, -1, 1]], [[1, -2, -9, 11, 28, -18, -34, 8, 13, 1], [1, 13, 8, -34, -18, 28, 11, -9, -2, 1]], [[-1, 1, 8, -7, -21, 15, 20, -10, -5, 1], [-1, 5, 10, -20, -15, 21, 7, -8, -1, 1]], [[-1, 1, 8, -8, -17, 15, 12, -8, -2, 1], [-1, 2, 8, -12, -15, 17, 8, -8, -1, 1]], [[-11, 7, 22, -7, -12, 1, 1], [-11, -7, 22, 7, -12, -1, 1]], [[-11, 8, 21, -9, -12, 1, 1], [-11, -8, 21, 9, -12, -1, 1]], [[3, 18, 15, -31, -12, 3, 1], [17, -48, 21, 27, -12, -3, 1]], [[-11, -10, 47, -1, -16, 1, 1], [-11, 10, 47, 1, -16, -1, 1]]]

def change_db_pol(pol1,pol2):
    """Find a field in the database with coefficient list pol1 and replace it by pol2
    """
    f = fields.find_one({'coefficients': pol1})
    if f:
    #print "Old field data:", f
        newdata = {'coefficients': pol2}
        f.update(newdata)
    #print "New field data:", f
        fields.save(f)

pols = old_new_list[0]
#change_db_pol(pols[0],pols[1])

print "Changing defining polynomials for %s field"%len(old_new_list)
count=0
for pols in old_new_list[1:]:
    count +=1
    change_db_pol(pols[0],pols[1])
    if count%10==0:
        print count
